CBSE · Class 10 · Mathematics · Real NumbersFind the HCF of 6 and 20 by prime factorization method.
Step-by-Step Solution
To find the HCF of 6 and 20 using prime factorization, we first write the prime factors of each number. The prime factorization of 6 is 2 × 3, and the prime factorization of 20 is 2² × 5. The HCF is the product of the smallest power of each common prime factor involved in the numbers. The only common prime factor is 2, and its smallest power is 1. Therefore, the HCF of 6 and 20 is 2.
💡 Study Guide: This question tests core syllabus concepts from Real Numbers. For formulas, key summaries, and mock exam reference guides, read the full Real Numbers Revision Notes.